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Finding the Fourth Proportional to 262.35, 362.07 and 167.81

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Solution

The fourth proportional to 262.35, 362.07 and 167.81 is: 231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.35 : 362.07 = 167.81 : x
  2. Step 2: Convert to fraction form
    262.35/362.07 = 167.81/x
  3. Step 3: Cross multiply
    262.35x = 362.07 × 167.81
  4. Step 4: Simplify right side
    262.35x = 60,757.16
  5. Step 5: Solve for x
    x = 60,757.16/262.35
  6. Step 6: Final answer
    x = 231.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.